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238820680 = 23575691499
BaseRepresentation
bin11100011110000…
…01110101001000
3121122101100101101
432033001311020
5442114230210
635410431144
75626641130
oct1617016510
9548340341
10238820680
1111289856a
1267b924b4
133a62a117
1423a09ac0
1515e76a3a
hexe3c1d48

238820680 has 64 divisors (see below), whose sum is σ = 615600000. Its totient is φ = 81682944.

The previous prime is 238820657. The next prime is 238820689. The reversal of 238820680 is 86028832.

It is not an unprimeable number, because it can be changed into a prime (238820689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158571 + ... + 160069.

It is an arithmetic number, because the mean of its divisors is an integer number (9618750).

Almost surely, 2238820680 is an apocalyptic number.

238820680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238820680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307800000).

238820680 is an abundant number, since it is smaller than the sum of its proper divisors (376779320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

238820680 is a wasteful number, since it uses less digits than its factorization.

238820680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 238820680 is about 15453.8241222035. The cubic root of 238820680 is about 620.4269345250.

The spelling of 238820680 in words is "two hundred thirty-eight million, eight hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 569 1138 1499 2276 2845 2998 3983 4552 5690 5996 7495 7966 10493 11380 11992 14990 15932 19915 20986 22760 29980 31864 39830 41972 52465 59960 79660 83944 104930 159320 209860 419720 852931 1705862 3411724 4264655 5970517 6823448 8529310 11941034 17058620 23882068 29852585 34117240 47764136 59705170 119410340 238820680